231002000 has 80 divisors (see below), whose sum is σ = 588057600. Its totient is φ = 87523200.

The previous prime is 231001963. The next prime is 231002027. The reversal of 231002000 is 200132.

231002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34961 + ... + 41039.

It is an arithmetic number, because the mean of its divisors is an integer number (7350720).

Almost surely, 2^231002000 is an apocalyptic number.

231002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294028800).

231002000 is an abundant number, since it is smaller than the sum of its proper divisors (357055600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231002000 is a wasteful number, since it uses less digits than its factorization.

231002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6121 (or 6105 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 231002000 is about 15198.7499485977. The cubic root of 231002000 is about 613.5810147526.

Adding to 231002000 its reverse (200132), we get a palindrome (231202132).

The spelling of 231002000 in words is "two hundred thirty-one million, two thousand".